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Newton_Gregory Backward Differences Formula

Bushra H. Aliwi

Department of Mathematics

BABYLON UNIVERSITY

Introduction:-

Interpolation is based on the following assumptions;

(i)     Given function is polynomial or it can be represented by a polynomial with good    degree of approximation .

(ii)   Function should vary in such a way that is increasing in the given range .  As we say before the Interpolation with equal intervals has three methods :-

Newton_Gregory Forward Formula,

 Newton_Gregory Backward Formula ,

Subdivision of Intervals .

       Here we will study method of Newton_Gregory Formula for Backward Interpolation .Through that the function which assumes the values for equal distant values of independent variable, It is being assumed that is a polynomial with n degree of  function .This all with solve example like previous method and give some exercises to be solved by students  .